Minimal translation hypersurfaces in E4

In this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes. We call them minimal translation hypersurfaces in E4 and give a classification of these hypersurfaces.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2016-07, Vol.439 (2), p.798-812
Main Authors: Moruz, Marilena, Munteanu, Marian Ioan
Format: Article
Language:English
Subjects:
Mathematics
Minimal surface
Scherk surface
Translation surface
Online Access:Get full text
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Description
Summary:In this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes. We call them minimal translation hypersurfaces in E4 and give a classification of these hypersurfaces.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2016.02.077